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Finding the Fourth Proportional to 306.61, 422.08 and 232.70

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Solution

The fourth proportional to 306.61, 422.08 and 232.70 is: 320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.61 : 422.08 = 232.70 : x
  2. Step 2: Convert to fraction form
    306.61/422.08 = 232.70/x
  3. Step 3: Cross multiply
    306.61x = 422.08 × 232.70
  4. Step 4: Simplify right side
    306.61x = 98,215.32
  5. Step 5: Solve for x
    x = 98,215.32/306.61
  6. Step 6: Final answer
    x = 320.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.